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elixir [45]
3 years ago
7

Country Carpets charges $25 per square yard for carpeting and an additional installation fee of $120. City carpets charges $35 p

er square yard for the same carpeting and an additional installation fee of $80. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.​
Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

Answer:

Step-by-step explanation:

25x+120=35x+80

25x+120 is Country Carpets equation

35x+80 is City carpets equation

x=4

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    25*x+120-(35*x+80)=0

Pull out like factors :

  -10x + 40  =   -10 • (x - 4)

Solve :    -10   =  0

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

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Answer:

34

Step-by-step explanation:

12(3)-2

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Find a:27=6:11, find a​
trasher [3.6K]

Answer:

a = 14.73

Step-by-step explanation:

This ratio can also be written like this:

\frac{a}{27} = \frac{6}{11}

Then you can cross multiply to get

11a = 6 x 27

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3 0
3 years ago
1) What is the solution to x - 5 = 27?
Phoenix [80]
X - 5 = 27

Isolate the x, add 5 to both sides (because of equal sign)

x - 5 = 27
x - 5 (+5) = 27 (+5)
x = 27 + 5
x = 32

x = 32 is your answer

hope this helps
3 0
3 years ago
When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a
kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

<u>Solution:</u>

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

\frac{1}{10} \times 100 = 10

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

6 0
2 years ago
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